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Finding the Fourth Proportional to 23,189.42, 34,783.63 and 5,659.20

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Solution

The fourth proportional to 23,189.42, 34,783.63 and 5,659.20 is: 8,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.42 : 34,783.63 = 5,659.20 : x
  2. Step 2: Convert to fraction form
    23,189.42/34,783.63 = 5,659.20/x
  3. Step 3: Cross multiply
    23,189.42x = 34,783.63 × 5,659.20
  4. Step 4: Simplify right side
    23,189.42x = 196,847,504.75
  5. Step 5: Solve for x
    x = 196,847,504.75/23,189.42
  6. Step 6: Final answer
    x = 8,488.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.